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The equation given is:

\[
y = 2x - 3
\]

We are asked to find the value of \( y \) when \( x = -4 \).

Substitute \( x = -4 \) into the equation:

\[
y = 2(-4) - 3
\]

Simplify:

\[
y = -8 - 3 = -11
\]

Thus, the value of \( y \) when \( x = -4 \) is:

\[
y = -11
\]

Do you need more details on this solution or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the slope of the line represented by \( y = 2x - 3 \)?
2. How do you find the x-intercept of the equation \( y = 2x - 3 \)?
3. What is the y-intercept of the equation \( y = 2x - 3 \)?
4. How would the equation change if the slope were halved?
5. If \( y = 2x - 3 \), at what value of \( x \) does \( y = 0 \)?

**Tip:** When solving linear equations, always start by substituting the known values and simplifying step by step.

If y = 2x - 3, what is the value of y when x = -4?

Solve the linear equation y = 2x - 3 and find the value of y when x = -4. This algebra problem covers key concepts such as linear equations and the slope-intercept form of a line. Suitable for students in Grades 6-8.

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